SOLUTION: Complete the following proofs using the Conditional Proof method. 1) 1. ~(P ∙ ~Q) 2. ~P → ~R 3. (R ∙ Q) → S / R → S ___________ _________

SOLUTION: Complete the following proofs using the Conditional Proof method. 1) 1. ~(P ∙ ~Q) 2. ~P → ~R 3. (R ∙ Q) → S / R → S _

Question 760899: Complete the following proofs using the Conditional Proof method.
1) 1. ~(P ∙ ~Q)
2. ~P → ~R
3. (R ∙ Q) → S / R → S
______________________

2) 1. (P ∙ Q) v (R ∙ S)
2. R → L / ~P → L
____________________

Complete the following proofs using the Indirect Proof method.
3) 1. A → B
2. A → C
3. ~B v ~C / ~A
_______________

4) 1. M v (O ∙ ~N)
2. ~M v ~N / ~N
______________

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		To Show
1.		Premise
2.		Premise
3.		Premise
4.	Suppose R	Assumption
5.		2,4 Modus Tollens
6.		1 DeMorgan
7.		6 Equivalent
8.		6,7 hypothetical syllogism
9.		4,8 Modus Ponens
10.		4, 9 Conjunction
12.		Simplification